Претрага
20 items
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A model for estimation of stress-dependent deformation modulus of rock mass
Slavko Torbica, Veljko Lapčević (2019)Slavko Torbica, Veljko Lapčević. "A model for estimation of stress-dependent deformation modulus of rock mass" in International Journal of Mining and Geo-Engineering (2019). https://doi.org/10.22059/IJMGE.2018.255295.594729
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Relation between crustal stress and thickness of earth's crust
Slavko Torbica, Veljko Lapčević (2020)Slavko Torbica, Veljko Lapčević. "Relation between crustal stress and thickness of earth's crust" in Podzemni radovi (2020). https://doi.org/10.5937/podrad1935013T
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Correlation of uniaxial compressive strength with the dynamic elastic modulus, p –wave velocity and s –wave velocity of different rock types
Knowing mechanical properties of rocks incorporated with ultrasonic waves velocities investigations provide a secure basis for mine modelling. Uniaxial compressive strength, dynamic elastic modulus and ultrasonic waves velocities are just some of the rock properties that indicate on presence of discontinuities, stratification and fissures of rocks. Determining the relationship of these rock properties testing the rock samples that are corresponding to different rock types extracted from different mineral deposits represents the core of this study. In this paper, we ...Jelena Majstorović, Miloš Gligorić, Suzana Lutovac, Milanka Negovanović, Luka Crnogorac. "Correlation of uniaxial compressive strength with the dynamic elastic modulus, p –wave velocity and s –wave velocity of different rock types" in Underground mining engineering, Рударско - геолошки факултет - Београд (2019)
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The Reciprocal Algebraic Integers Having Small House
Dragan Stankov (2021)Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The Reciprocal Algebraic Integers Having Small House" in Experimental Mathematics (2021). https://doi.org/ 10.1080/10586458.2021.1982425
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The number of nonunimodular roots of a reciprocal polynomial
Dragan Stankov (2023)We introduce a sequence Pd of monic reciprocal polynomials with integer coefficients having the central coefficients fixed as well as the peripheral coefficients. We prove that the ratio of the number of nonunimodular roots of Pd to its degree d has a limit L when d tends to infinity. We show that if the coefficients of a polynomial can be arbitrarily large in modulus then L can be arbitrarily close to 0. It seems reasonable to believe that if ...Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The number of nonunimodular roots of a reciprocal polynomial" in Comptes rendus mathematique, Elsevier France Editions Scientifiques et Medicales (2023). https://doi.org/10.5802/crmath.422
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On the distribution modulo 1 of the sum of powers of a Salem number
Dragan Stankov (2016)It is well known that the sequence of powers of a Salem number θ, modulo 1, is dense in the unit interval, but is not uniformly distributed. Generalizing a result of Dupain, we determine, explicitly, the repartition function of the sequence , where P is a polynomial with integer coefficients and θ is quartic. Also, we consider some examples to illustrate the method of determination.Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "On the distribution modulo 1 of the sum of powers of a Salem number" in Comptes rendus Mathematique (2016). https://doi.org/10.1016/j.crma.2016.03.012
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A necessary and sufficient condition for an algebraic integer to be a Salem number
Dragan Stankov (2019)We present a necessary and sufficient condition for a root greater than unity of a monic reciprocal polynomial of an even degree at least four, with integer coefficients, to be a Salem number. This condition requires that the minimal polynomial of some power of the algebraic integer has a linear coefficient that is relatively large. We also determine the probability that an arbitrary power of a Salem number, of certain small degrees, satisfies this condition.Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "A necessary and sufficient condition for an algebraic integer to be a Salem number" in Journal de theorie des nombres de Bordeaux (2019). https://doi.org/10.5802/jtnb.1076
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The number of unimodular roots of some reciprocal polynomials
Dragan Stankov (2020)We introduce a sequence P2n of monic reciprocal polynomials with integer coefficients having the central coefficients fixed. We prove that the ratio between number of nonunimodular roots of P2n and its degree d has a limit when d tends to infinity. We present an algorithm for calculation the limit and a numerical method for its approximation. If P2n is the sum of a fixed number of monomials we determine the central coefficients such that the ratio has the minimal limit. ...Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The number of unimodular roots of some reciprocal polynomials" in Cmptes rendus mathematique (2020). https://doi.org/10.5802/crmath.28
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Correlation Between Dynamic CBR and Compaction and Bearing Capacity of Pavement Foundation Layers
This paper presents a dynamic California Bearing Ratio (CBRd) device that can be used on a prepared pavement foundation layer to obtain a certain parameter of the tested material in the laboratory and in situ in a direct and fast way. For the selected natural material (gravel), it is shown that the laboratory CBRd can be used to estimate the compaction and bearing capacity, because it correlates well with the parameters of the standard and modifed Proctor compaction tests. ...korelacija parametara, donji slojevi saobraćajnica, laboratorijska i terenska ispitivanja, dinamički kalifornijski indeks nosivosti CBRdMilan Bogdanović, Snežana Bogdanović, Dragoslav Rakić, Irena Basarić Ikodinović. "Correlation Between Dynamic CBR and Compaction and Bearing Capacity of Pavement Foundation Layers" in Soil Mechanics and Foundation Engineering, Springer Science and Business Media LLC (2024). https://doi.org/10.1007/s11204-024-09939-x
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An alternative to Mahler Measure of polynomials
Dragan Stankov (2024)We introduce the ratio of the number of roots of a polynomial Pd, greater than one in modulus, to its degree d as an alternative to Mahler measure. We investigate some properties of the limit ratio. We generalise this definition for a two variable polynomial P(x,y) using the Cauchy’s argument principle. We present an algorithm for calculating the limit ratio and a numerical method for its approximation. We estimated the limit ratio for some families of polynomials. Some examples ...Dragan Stankov. "An alternative to Mahler Measure of polynomials" in The book of abstracts XV serbian mathematical congress, Belgrade, Serbia, june, 19–22, 2024, Univerzitet u Beogradu, Matematički fakultet (2024)
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Structural and geochronological constraints from the Drina-Ivanjica thrust sheet (Western Serbia): implications for the Cretaceous–Paleogene tectonics of the Internal Dinarides
Kristof Porkoláb, Szilvia Kövér, Zsolt Benkó, Gabor Héja, Melinda Fialowski, Balázs Soós, Nataša Gerzina Spajić, Nevenka Đerić, László Fodor (2019)Internal Dinarides, Drina-Ivanjica thrust sheet, Deformation history, K–Ar dating, Obduction, Structural analysisKristof Porkoláb, Szilvia Kövér, Zsolt Benkó, Gabor Héja, Melinda Fialowski, Balázs Soós, Nataša Gerzina Spajić, Nevenka Đerić, László Fodor. "Structural and geochronological constraints from the Drina-Ivanjica thrust sheet (Western Serbia): implications for the Cretaceous–Paleogene tectonics of the Internal Dinarides" in Swiss Journal of Geosciences (2019)
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The alternative to Mahler measure of polynomials in several variables
Dragan Stankov (2024)We introduce the ratio of the number of roots of a polynomial Pd, greater than one in modulus, to its degree d as an alternative to Mahler measure. We investigate some properties of the alternative. We generalise this definition for a polynomial in several variables using Cauchy’s argument principle. If a polynomial in two variables do not vanish on the torus we prove the theorem for the alternative which is analogous to the Boyd-Lawton limit formula for Mahler measure. ...Dragan Stankov. "The alternative to Mahler measure of polynomials in several variables" in The book of abstracts XIV symposium "mathematics and applications” Belgrade, Serbia, December, 6–7, 2024 , Univerzitet u Beogradu, Matematički fakultet (2024)
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Стратешко планирање функционалности подземних просторија моделом прогнозе деформација
Лука Црногорац (2023)Релативно велике деформације подградне конструкције у подземним рудницима угља у Републици Србији представљају један од главних проблема за постизање планиране производње угља. Деформације подграде су директна последица статичких и динамичких оптерећења стенске масе и у многоме зависе и од времена трајања изложености подграде утицају подземног притиска. Код ниско механизованог радног процеса долази до повећаног излагања подземних просторија утицају подземног притиска услед дугог производног циклуса који је често пропраћен застојима у раду. Веома често подземне просторије се санирају и по ...Лука Црногорац. Стратешко планирање функционалности подземних просторија моделом прогнозе деформација, Београд : [Л. Црногорац], 2023
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Approximation of the number of roots that do not lie on the unit circle of a self-reciprocal polynomial
Dragan Stankov (2024)We introduce the ratio of the number of roots not equal to 1 in modulus of a reciprocal polynomial Rd(x) to its degree d. For some sequences of reciprocal polynomials we show that the ratio has a limit L when d tends to infinity. Each of these sequences is defined using a two variable polynomial P(x,y) so that Rd(x) = P(x,xn). For P(x,y) we present the theorem for the limit ratio which is analogous to the Boyd-Lawton limit formula ...Dragan Stankov. "Approximation of the number of roots that do not lie on the unit circle of a self-reciprocal polynomial" in The book of abstracts XIV symposium "mathematics and applications” Belgrade, Serbia, December, 6–7, 2024 , Univerzitet u Beogradu, Matematički fakultet (2024)
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Mapping and classifying large deformation from digital imagery: application to analogue models of lithosphere deformation
kontinentalna tektonika: kompresija, kontinentalna tektonika: ekstenzija, kontinentalna tektonika: transkurentni i transformni rasedi, pukotine, rasedi, zone snažnih deformacija, kinematika deformacija kore i omotača, teorijska mehanika, modelovanjeTaco Broerse, Nemanja Krstekanić, Cor Kasbergen, Ernst Willingshofer. "Mapping and classifying large deformation from digital imagery: application to analogue models of lithosphere deformation" in Geophysical Journal International, Oxford University Press (OUP) (2021). https://doi.org/10.1093/gji/ggab120
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Gate Road Support Deformation Forecasting Based on Multivariate Singular Spectrum Analysis and Fuzzy Time Series
Luka Crnogorac, Rade Tokalić, Zoran Gligorić, Aleksandar Milutinović, Suzana Lutovac, Aleksandar Ganić (2021)Underground mining engineers and planners in our country are faced with extremely difficult working conditions and a continuous shortage of money. Production disruptions are frequent and can sometimes last more than a week. During this time, gate road support is additionally exposed to rock stress and the result is its progressive deformation and the loss of functionality of gate roads. In such an environment, it is necessary to develop a low-cost methodology to maintain a gate road support system. ...deformacije podgrade, lasersko skeniranje, višekanalna singularna spektralna analiza, prognoza, klasterisanje fuzzy vremenskih serijaLuka Crnogorac, Rade Tokalić, Zoran Gligorić, Aleksandar Milutinović, Suzana Lutovac, Aleksandar Ganić. "Gate Road Support Deformation Forecasting Based on Multivariate Singular Spectrum Analysis and Fuzzy Time Series" in Energies, MDPI (2021). https://doi.org/https://doi.org/10.3390/en14123710
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Steel Arch Support Deformations Forecast Model Based on Grey–Stochastic Simulation and Autoregressive Process
Relatively large deformations of the steel arch support in underground coal mines in the Republic of Serbia present one of the main problems for achieving the planned production of coal. Monitoring of the critical sections of the steel arch support in the underground roadways is necessary to gather quality data for the development of a forecasting model. With a new generation of 3D laser scanners that can be used in potentially explosive environments (ATEX), deformation monitoring is facilitated, while ...čelična podgrada, prognoza deformacija, vremenske serije, grey-stohastička simulacija, autoregresija, podzemni rudnik ugljaLuka Crnogorac, Suzana Lutovac, Rade Tokalić, Miloš Gligorić, Zoran Gligorić. "Steel Arch Support Deformations Forecast Model Based on Grey–Stochastic Simulation and Autoregressive Process" in Applied Sciences, MDPI AG (2023). https://doi.org/10.3390/app13074559
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Konstitutivne zavisnosti komunalnog otpada sa deponija u Srbiji
Dragoslav Rakić (2013-05-10)U disertaciji su prikazani rezultati laboratorijskih ispitivanja uzoraka komunalnogotpada dobijeni u aparatima za direktno smicanje i edometarskim aparatima (jedanedometarski aparat konstruisan je za potrebe ove disertacije). Sva ispitivanja su izvršenana veštački pripremljenim uzorcima, uz uvažavanje preporuka koje se odnose nadimenzije korišćenih aparata i veličinu najvećih frakcija u uzorku (EN 1997-2, ASTM2007-a, 2007-b). Za formiranje uzoraka korišćen je komunalni otpad različite starosti,uzet sa dve deponije u Srbiji (Ade Huje u Beogradu i gradske deponije u Novom Sadu).Interpretacija rezultata dobijenih iz ...komunalni otpad, deponija, geotehnička klasifikacija, čvrstoća smicanja,deformabilnost, indeks primarne kompresije, indeks sekundarne kompresije, modelisleganjaDragoslav Rakić. "Konstitutivne zavisnosti komunalnog otpada sa deponija u Srbiji" in Универзитет у Београду, Универзитет у Београду, Рударско-геолошки факултет (2013-05-10)
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Konstitutivne zavisnosti komunalnog otpada sa deponija u Srbiji
Dragoslav Rakić (2013-05-10)U disertaciji su prikazani rezultati laboratorijskih ispitivanja uzoraka komunalnogotpada dobijeni u aparatima za direktno smicanje i edometarskim aparatima (jedanedometarski aparat konstruisan je za potrebe ove disertacije). Sva ispitivanja su izvršenana veštački pripremljenim uzorcima, uz uvažavanje preporuka koje se odnose nadimenzije korišćenih aparata i veličinu najvećih frakcija u uzorku (EN 1997-2, ASTM2007-a, 2007-b). Za formiranje uzoraka korišćen je komunalni otpad različite starosti,uzet sa dve deponije u Srbiji (Ade Huje u Beogradu i gradske deponije u Novom Sadu).Interpretacija rezultata dobijenih iz ...komunalni otpad, deponija, geotehnička klasifikacija, čvrstoća smicanja,deformabilnost, indeks primarne kompresije, indeks sekundarne kompresije, modelisleganjaDragoslav Rakić. "Konstitutivne zavisnosti komunalnog otpada sa deponija u Srbiji" in Универзитет у Београду, Универзитет у Београду, Рударско-геолошки факултет (2013-05-10)
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Korelacione zavisnosti parametara zbijanja i nosivosti donjih slojeva saobraćajnica
Milan Bogdanović (2024)Disertacija se bavi korelacionim zavisnostima parametara zbijanja i nosivosti podloge (donji slojevi saobraćajnica). izgrađene od prirodnih sitnozrnih i krupnozrnih materijala. Cilj istraživanja je bio utvrđivanje pouzdanih korelacija između izabranih parametara materijala koji opisuju stanje slojeva podloge što je doprinelo predlogu načina upotrebe i definisanju vrednosti dinamičkog CBR uređaja (CBRd). Ova disertacija prikazuje rezultate opsežnih laboratorijskih i in situ ispitivanja u kojima se procenjuje nosivost materijala pomoću navedenih metoda. Ogromna baza podataka omogućila je razvoj nekih korelacija između različitih statičkih ...korelacija parametara zbijanja i nosivosti, donji slojevi saobraćajnica, laboratorijska i terenska ispitivanja, dinamički kalifornijski indeks nosivosti CBRdMilan Bogdanović. Korelacione zavisnosti parametara zbijanja i nosivosti donjih slojeva saobraćajnica, Beograd : [M. Bogdanović], 2024